A variational procedure without the need of using L\* basis set expansion or trial wave functions is introduced for efficient and accurate treatment of relativistic quantum-mechanical eigenvalue problems. The method, ba>ed on the extension of the Fouriergrid Hamiltonian technique, is free from the p
Spin separation in the regular Hamiltonian approach to solutions of the Dirac equation
β Scribed by A.J. Sadlej; J.G. Snijders
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 288 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
It is shown how by combining the ideas of the direct perturbation theory approach to the solution of the Dirac equation and the regular expansion as used in the Chang-PClissier-Durand
Hamiltonian one can derive a spin-free approximation to the Dirac equation that resembles a similar equation recently derived by Dyall. However, unlike that equation, the present approach is entirely free of singular operators even in the case of a potential containing an attractive Coulomb singularity such as encountered in atomic and molecular Dirac-Fock theory.
π SIMILAR VOLUMES
## Abstract In this paper we consider bound state solutions, i.e., normalizable timeβperiodic solutions of the Dirac equation in an extreme Kerr black hole background with mass __M__ and angular momentum __J__. It is shown that for each azimuthal quantum number __k__ and for particular values of __